Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition

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Iftikhar Ahmed, Chunlai Mu, Pan Zheng, Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition, Int. J. Anal. Appl., 5 (2) (2014), 147-153.

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Iftikhar Ahmed, Chunlai Mu, Pan Zheng

Abstract

This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined. Moreover, upper bound of the blow-up time for the blow-up solution is obtained.

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